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Mathematics QUESTION #6045

Find the number of common tangents to the circles $x^2+y^2-4x-6y-12=0$ and $x^2+y^2+6x+18y+26=0$.

1
2
3✔️
4

Correct Answer Logic:

Circle 1: centre $C_1=(2,3)$, $r_1=\sqrt{4+9+12}=5$.

Circle 2: centre $C_2=(-3,-9)$, $r_2=\sqrt{9+81-26}=8$.

Distance $|C_1C_2|=\sqrt{(2+3)^2+(3+9)^2}=\sqrt{25+144}=\sqrt{169}=13$.

Since $|C_1C_2|=13=r_1+r_2=5+8$, the circles are externally tangent. Externally tangent circles have exactly 3 common tangents.

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English QUESTION #4441

Question 3282

The availability of oxygen is an essential ____ for animal life, while carbon dioxide is equally ____ for plant life.

choice, optional
duplication, selective
luxury, harmful
None of these✔️

Correct Answer Logic:

Oxygen is essential for animals and CO2 is essential for plants. None of the paired options provide two synonyms for 'essential'.

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Economics QUESTION #1704

Question 3283

Pakistan's chronically low tax-to-GDP ratio — among the lowest in South Asia — is attributable to which combination of structural and institutional factors?

Disproportionate reliance on regressive indirect taxes
Agricultural sector exemptions and exclusion of large informal income from the tax net
Weak documentation of the tax base and inadequate enforcement capacity
All of these✔️

Correct Answer Logic:

Pakistan's tax-to-GDP ratio (historically around 9–11%) is explained by a confluence of factors: (1) heavy reliance on indirect taxes (sales tax, customs duties) rather than broad-based direct taxes; (2) constitutional and political exemptions for agriculture, despite its large economic size; (3) a large undocumented informal economy estimated at 35–40% of GDP; and (4) weak FBR enforcement, narrow withholding tax net, and rampant tax evasion by powerful sectors.

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Dairy Food Science and Technology QUESTION #5893

Question 3284

The term 'syneresis' in the context of yoghurt and cheese refers to:

Microbial spoilage causing off-flavors
Contraction of the protein gel network expelling whey✔️
Excessive lactose crystallization causing sandiness
Lipid oxidation causing rancidity

Correct Answer Logic:

Syneresis is the spontaneous contraction of the casein gel/curd matrix expelling entrapped whey. In yoghurt, excessive syneresis causes a watery layer. It is influenced by protein concentration, $\text{pH}$ at gelation, heat treatment of milk, and rate of acidification.

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Reading and Writing (Module-1) QUESTION #5432

Question 3285

Cats can judge unseen people's positions by voice. Researchers measured surprise via ear and head movements when cats heard owners' voices from one or two speakers. How did researchers determine cats' surprise level?

They watched ear and head movements.✔️
They examined reaction to a stranger's voice.
They studied physical interaction with owner.
They tracked how each cat moved around the room.

Correct Answer Logic:

The text explicitly states "measuring cats' levels of surprise based on their ear and head movements."

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Civil Procedure QUESTION #3691

Question 3286

During discovery in a federal case, a party fails to produce documents specifically requested. The opposing party immediately files a motion for sanctions, including a request for attorney's fees. How should the court handle the motion?

Grant the motion immediately because discovery rules are self-executing.
Deny the motion unless the movant includes a certification that they in good faith conferred or attempted to confer with the party failing to act.✔️
Grant the motion but only if the non-moving party's failure was willful and in bad faith.
Deny the motion because attorney's fees are never available for discovery disputes.

Correct Answer Logic:

Rule 37(a)(1) requires that a motion for an order compelling disclosure or discovery must include a certification that the movant has in good faith conferred or attempted to confer with the person or party failing to make disclosure or discovery.

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General Knowledge QUESTION #8878

Question 3287

Who wrote 'The Origin of Species'?

Karl Marx
Charles Darwin✔️
Albert Einstein
Niels Bohr

Correct Answer Logic:

Darwin authored The Origin of Species.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3213

Question 3288

'Growth Hormone' (GH) is secreted by the:

Posterior Pituitary
Anterior Pituitary✔️
Thyroid Gland
Adrenal Medulla

Correct Answer Logic:

The anterior pituitary (adenohypophysis) produces GH, TSH, ACTH, etc.

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Pharmacology and Toxicology QUESTION #3853

Question 3289

Through which mechanism does allopurinol lower serum uric acid levels?

To increase renal excretion of uric acid
To inhibit formation of uric acid✔️
To inhibit absorption of dietary purines
To inhibit prostaglandin synthesis

Correct Answer Logic:

Allopurinol inhibits xanthine oxidase, thereby reducing the enzymatic conversion of hypoxanthine and xanthine to uric acid.

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Civil / Architecture QUESTION #2344

Question 3290

For a steel compression member using AISC LRFD, the design compressive strength with $\phi_c = 0.90$ for the inelastic buckling range where $\lambda_c \leq 1.5$ uses:

$F_{cr} = \left(\dfrac{0.877}{\lambda_c^2}\right) F_y$
$F_{cr} = \left(0.658^{\lambda_c^2}\right) F_y$✔️
$F_{cr} = \dfrac{\pi^2 E}{(KL/r)^2}$
$F_{cr} = F_y (1 - 0.25\lambda_c^2)$

Correct Answer Logic:

Per AISC LRFD: For $\lambda_c \leq 1.5$ (inelastic): $F_{cr} = (0.658^{\lambda_c^2}) F_y$. For $\lambda_c > 1.5$ (elastic): $F_{cr} = (0.877/\lambda_c^2) F_y$. The slenderness parameter $\lambda_c = \dfrac{KL}{r\pi}\sqrt{\dfrac{F_y}{E}}$. The design strength is $\phi_c P_n = 0.90 F_{cr} A_g$.

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Reading and Writing (Module-1) QUESTION #5445

Question 3291

In 2010, archaeologist Noel Hidalgo Tan noticed red paint markings on Angkor Wat's ____ the help of digital imaging, he discovered over 200 paintings.

walls, with
walls with
walls so with
walls. With✔️

Correct Answer Logic:

A period creates two complete sentences: "...on the temple walls. With the help of..."

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Nursing QUESTION #9252

Question 3292

A patient with severe traumatic brain injury (TBI) is admitted to ICU. The nurse notes Cushing's Triad. Which set of signs is Cushing's Triad and what does it indicate?

Hypotension, tachycardia, and tachypnea — indicating neurogenic shock
Hypertension, bradycardia, and irregular respirations — indicating severely raised ICP✔️
Hypotension, bradycardia, and hypothermia — indicating neurogenic shock
Fever, hypertension, and diaphoresis — indicating autonomic dysreflexia

Correct Answer Logic:

Correct Answer: B — Cushing's Triad

Cushing's Triad is a late and ominous sign of severely raised intracranial pressure and impending brain herniation:

Hypertension (widened pulse pressure) — body attempts to perfuse brain against rising ICP
Bradycardia — reflex response (baroreceptor) to hypertension
Irregular respirations — Cheyne-Stokes or ataxic breathing due to brainstem compression

This is a medical emergency. The nurse must:

Immediately notify the neurosurgeon and intensivist
Elevate HOB to $30°$
Administer Mannitol $0.25 - 1 \text{ g/kg}$ IV or 3% NaCl
Prepare for emergency ICP monitoring or surgical decompression
Avoid hypotension (maintain CPP $\geq 60 \text{ mmHg}$)
Avoid hyperthermia and hypoxia

Cushing's Triad represents the last compensatory mechanism before brain herniation — survival depends on seconds-to-minutes intervention.

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English QUESTION #8542

Question 3293

There has been a complete break _______ of law and order in the country.

up
off
down✔️
of

Correct Answer Logic:

'Breakdown' means collapse or failure.

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General Knowledge QUESTION #8905

Question 3294

Which of the following is the newest district of Punjab?

Nankana Sahib✔️
Pakpattan
Kasur
Mandi Bahauddin

Correct Answer Logic:

Nankana Sahib became a district in 2005.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3187

Question 3295

The 'All-or-None' Law of nerve impulses states that:

Nerves only fire during the day
An impulse is conducted at full strength or not at all✔️
Nerves never rest
Only large nerves can fire

Correct Answer Logic:

If a stimulus reaches threshold, an action potential of constant magnitude is generated.

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General Knowledge QUESTION #8869

Question 3296

Sindh was separated from the Bombay Presidency in which year?

1919
1925
1935✔️
1937

Correct Answer Logic:

Sindh became a separate province in 1935 (Government of India Act 1935).

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Physics QUESTION #7094

Question 3297

A particle moves in a circle at a constant $10\text{ ms}^{-1}$. What is the magnitude of velocity change after turning $60^{\circ}$?

$10\sqrt{3}\text{ m/s}$
zero
$10\sqrt{2}\text{ m/s}$
$10\text{ m/s}$✔️

Correct Answer Logic:

The magnitude of change in velocity is $|\Delta v| = 2v \sin(\frac{\theta}{2})$.

$|\Delta v| = 2(10) \sin(60^{\circ}/2) = 20 \sin 30^{\circ}$
$|\Delta v| = 20 \times \frac{1}{2} = 10\text{ m/s}$.

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Civil Engineering QUESTION #6640

Question 3298

The ACI code specifies a 'Maximum spacing' for stirrups primarily to:

Reduce the cost of steel
Ensure that every 45-degree potential crack is intercepted by at least one stirrup✔️
Prevent the longitudinal bars from buckling
Increase the compressive strength of the web